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Spherically symmetric spacetimes in f(R) gravity theories · Around

2007

Spherically symmetric spacetimes in f(R) gravity theories

Kainulainen, Kimmo, Piilonen, Johanna, Reijonen, Vappu et al.

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We study both analytically and numerically the gravitational fields of stars in f(R) gravity theories.

We derive the generalized Tolman-Oppenheimer-Volkov equations for these theories and show that in metric f(R) models the Parameterized Post-Newtonian parameter $\gamma_{\rm PPN} = 1/2$ is a robust outcome for a large class of boundary conditions set at the center of the star.
This result is also unchanged by introduction of dark matter in the Solar System.
We find also a class of solutions with $\gamma_{\rm PPN} \approx 1$ in the metric $f(R)=R-\mu^4/R$ model, but these solutions turn out to be unstable and decay in time.

Built on

S. Gasiorowicz, “Structure of Matter”, Addison Wesley Longman Publishing Co (1979)
1979
Earlier work this paper cites.
R. d’Inverno, “Introducing Einstein’s relativity,” Oxford, UK: Clarendon (1992)
1992
Earlier work this paper cites.
G. Jungman, M. Kamionkowski and K. Griest, Phys. Rept. 267
1996
Earlier work this paper cites.
T. Damour and G. Esposito-Farese, Class. Quant. Grav. 9
Original
1996
Earlier work this paper cites.
G. Esposito-Farese and D. Polarski, Phys. Rev. D 63
2001
Earlier work this paper cites.
D. N. Vollick, Phys. Rev. D 68
2003
Earlier work this paper cites.
T. Chiba, Phys. Lett. B 575
2003
Earlier work this paper cites.

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